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Finding the Fourth Proportional to 3,280.64, 4,920.96 and 815.48

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Solution

The fourth proportional to 3,280.64, 4,920.96 and 815.48 is: 1,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.64 : 4,920.96 = 815.48 : x
  2. Step 2: Convert to fraction form
    3,280.64/4,920.96 = 815.48/x
  3. Step 3: Cross multiply
    3,280.64x = 4,920.96 × 815.48
  4. Step 4: Simplify right side
    3,280.64x = 4,012,944.46
  5. Step 5: Solve for x
    x = 4,012,944.46/3,280.64
  6. Step 6: Final answer
    x = 1,223.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.